Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 13 (2018), 27 -- 40

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INITIAL VALUE PROBLEMS FOR FRACTIONAL FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH HADAMARD TYPE DERIVATIVES IN BANACH SPACES

John R. Graef, Nassim Guerraiche and Samira Hamani

Abstract. The authors establish sufficient conditions for the existence of solutions to boundary value problems for fractional differential inclusions involving the Hadamard type derivatives of order α ∈ (0,1] in Banach spaces.

2010 Mathematics Subject Classification: 34K09; 34K37.
Keywords: initial value problems; fractional derivatives; functional differential inclusions; Hadamard derivatives.

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John R. Graef
Department of Mathematics,
University of Tennessee at Chattanooga,
Chattanooga, TN 37403-2504, USA.
e-mail: John-Graef@utc.edu

Nassim Guerraiche
Laboratoire des Mathématiques Appliqués et Pures,
Université de Mostaganem,
B.P. 227, 27000, Mostaganem, ALGERIE.
nassim.guerraiche@univ-mosta.dz

Samira Hamani
Laboratoire des Mathématiques Appliqués et Pures,
Université de Mostaganem,
B.P. 227, 27000, Mostaganem, ALGERIE.
hamani_samira@yahoo.fr

http://www.utgjiu.ro/math/sma